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erma4kov [3.2K]
3 years ago
5

Find the value of x for which (2)^3x = 8^2.​

Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

x = 2

Step-by-step explanation:

Using the rule of exponents

(a^m)^{n} = a^{mn}

(2)^{3x} = 2^{3x} and 8 = (2³ )² = 2^{6} , so

2^{3x} = 2^{6}

Since the bases on both sides are equal, both 2, equate the exponents

3x = 6 ( divide both sides by 3 )

x = 2

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